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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017
摘要
We extend the theory of quasipotentials in dynamical systems by calculating, within a broad class of period-doubling maps, an exact potential for the critical fluctuations of pitchfork 分岔s in the weak noise limit. These far-from-equilibrium fluctuations are described by finite-size 平均場 theory, placing their static properties in the same universality class as the Ising模型 on a complete graph. We demonstrate that the effective system size of noisy period-doubling 分岔s exhibits universal 縮放律 behavior along period-doubling routes to 混沌.
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